Knowledge of Fact and knowledge of the Cause must be distinguished,
and even within the same Science.[41] In some syllogisms the
conclusion only brings out [Greek: to\ o(/ti]--the reality of certain
facts; in others, it ends in [Greek: to\ dio/ti]--the affirmation of
a cause, or of the _Why_. The syllogism of the _Why_ is, where the
middle term is not merely the cause, but the proximate cause, of the
conclusion. Often, however, the effect is more notorious, so that we
employ it as middle term, and conclude from it to its reciprocating
cause; in which case our syllogism is only of the [Greek: o(/ti]; and
so it is also when we employ as middle term a cause not proximate but
remote, concluding from that to the effect.[42] Sometimes the
syllogisms of the [Greek: o(/ti] may fall under one science, those of
the [Greek: dio/ti] under another, namely, in the case where one
science is subordinate to another, as optics to geometry, and
harmonics to arithmetic; the facts of optics and harmonics belonging
to sense and observation, the causes thereof to mathematical
reasoning. It may happen, then, that a man knows [Greek: to\ dio/ti]
well, but is comparatively ignorant [Greek: tou= o(/ti]: the geometer
may have paid little attention to optical facts.[43] Cognition of the
[Greek: dio/ti] is the maximum, the perfection, of all cognition; and
this, comprising arithmetical and geometrical theorems, is almost
always attained by syllogisms in the First figure. This figure is the
most truly scientific of the three; the other two figures depend upon
it for expansion and condensation. It is, besides, the only one in
which universal affirmative conclusions can be obtained; for in the
Second figure we get only negative conclusions; in the Third, only
particular. Accordingly, propositions declaring Essence or
Definition, obtained only through universal affirmative conclusions,
are yielded in none but the First figure.[44]
[Footnote 41: Ibid. I. xiii. p. 77, a. 22 seq.]
[Footnote 42: Themistius, p. 45: [Greek: polla/kis sumbai/nei kai\
a)ntistre/phein a)llê/lois to\ ai)tion kai\ to\ sêmei=on kai\ a)/mphô
dei/knusthai di' a)llê/lôn, dia\ tou= sêmei/ou me\n ô(s to\ o(/ti,
dia\ thate/rou de\ ô(s to\ dio/ti.]
"Cum enim vera demonstratio, id est [Greek: tou= dio/ti], fiat per
causam proximam, consequens est, ut demonstratio vel per effectum
proximum, vel per causam remotam, sit demonstratio [Greek: tou=
o(/ti]" (Julius Pacius, Comm. p. 422).
M. Barthélemy St. Hilaire observes (Note, p. 82):--"La cause éloignée
non immédiate, donne un syllogisme dans la seconde figure.--Il est
vrai qu'Aristote n'appelle cause que la cause immédiate; et que la
cause éloignée n'est pas pour lui une véritable cause."
See in Schol. p. 188, a. 19, the explanation given by Alexander of
the syllogism [Greek: tou= dio/ti].]
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